Question

If the middle term of (1 + x)²ⁿ (n ∈ N) is the greatest term of the expansion, then the interval in which x lies is

(a) \(\left[\frac{n+1}n, \frac{n+2}n\right]\)

(b) \(\left[\frac{n-1}n, \frac{n+1}n\right]\)

(c) \(\left[\frac{n}{n+1}, \frac{n+1}n\right]\)

(d) None of these

Answer 1

Correct option is (c) \(\left[\frac{n}{n+1}, \frac{n+1}n\right]\)